self downloading apps and randow games playing by itself?

my phone randomly started playing a game but i dont even have a game in my phone however i couldn't turn it off so i took battery out and put it back to reset it but got stuck on the eye. and when i check my gmail downloaded 3 paid games. any body any idea?
is this because an app im using?
please help im waiting for my replacement phone. and want to avoid this to happen again.